Differential equations for discrete Jacobi-Sobolev orthogonal polynomials
From MaRDI portal
Publication:1708569
DOI10.4171/JST/194zbMath1384.33019arXiv1510.02570OpenAlexW2789542339MaRDI QIDQ1708569
Antonio J. Duran, Manuel D. De La Iglesia
Publication date: 23 March 2018
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.02570
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other functions coming from differential, difference and integral equations (33E30)
Related Items
The differential equation for Jacobi-Sobolev orthogonal polynomials with two linear perturbutions ⋮ On difference operators for symmetric Krall-Hahn polynomials ⋮ Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters ⋮ The algebra of difference operators associated to Meixner type polynomials ⋮ On convergence of Fourier series in discrete Jacobi–Sobolev spaces ⋮ Bispectrality of Charlier type polynomials ⋮ Bispectrality of Meixner type polynomials ⋮ Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type ⋮ The algebras of difference operators associated to Krall-Charlier orthogonal polynomials ⋮ On some classical type Sobolev orthogonal polynomials ⋮ Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials ⋮ Bispectral Laguerre type polynomials ⋮ New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials ⋮ On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials ⋮ New examples of Krall-Meixner and Krall-Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials ⋮ Bispectral Jacobi type polynomials